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Finding the Fourth Proportional to 21,349.74, 32,023.92 and 9,662.97

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Solution

The fourth proportional to 21,349.74, 32,023.92 and 9,662.97 is: 14,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,349.74 : 32,023.92 = 9,662.97 : x
  2. Step 2: Convert to fraction form
    21,349.74/32,023.92 = 9,662.97/x
  3. Step 3: Cross multiply
    21,349.74x = 32,023.92 × 9,662.97
  4. Step 4: Simplify right side
    21,349.74x = 309,446,178.24
  5. Step 5: Solve for x
    x = 309,446,178.24/21,349.74
  6. Step 6: Final answer
    x = 14,494.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.